Inclusion relations between the statistical convergence and strong summability | Zendy

Enno Kolk | Zendy

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Inclusion relations between the statistical convergence and strong summability

Author(s) -

Enno Kolk

Publication year - 1998

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.1998.02.07

Subject(s) - mathematics , banach space , sequence (biology) , inclusion (mineral) , convergence (economics) , space (punctuation) , pure mathematics , sequence space , computer science , physics , thermodynamics , genetics , economics , biology , operating system , economic growth

For a sequential method of summability B we define B-density and B-statistical convergence in a Banach space X, and investigate inclusion relations between the space of B-statistically convergent sequences and the space of strongly B-summable sequences with respect to a sequence of modulus functions F=(fk). As an application, two theorems of Pehlivan and Fisher [27] are corrected.

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